#6.6 Geometric Sequences

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Tags

CCSS.HSF.BF.A.2

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence.

• 10
• 1/2
• 2
• 4

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the geometric sequence.

• 2
• -2
• 1/2
• -1/2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Tags

CCSS.HSF.BF.A.2

Find the next three terms: -4, -12, -36, -108, ...

• 36, -108, 324
• -324, -972, -2916
• 324, -972, 2916
• -108, 324, -972

Tags

CCSS.HSF.BF.A.2

Write an equation for the nth term of the geometric sequence:

3, 6, 12, 24, ...

•  $a_n=3\left(2\right)^{n-1}$  

•  $a_n=2\left(3\right)^{n-1}$  

•  $a_n=3\left(2\right)^n$  

•  $a_n=2\left(3\right)^n$  

Write an equation for the nth term of the geometric sequence:

500, 100, 20, 4, ...

•  $a_n=4\left(\frac{1}{5}\right)^{n-1}$  

•  $a_n=4\left(5\right)^{n-1}$  

•  $a_n=500\left(5\right)^{n-1}$  

•  $a_n=500\left(\frac{1}{5}\right)^{n-1}$  

What is the 6th term of the geometric sequence?

• $32$

• $\frac{1}{32}$

• $-\frac{1}{4}$

• $-4$